03063nam0 2200505 i 450 VAN0012372720260624035932.548N9783319492773159148297220191001d2017 |0itac50 baengCH|||| |||||i e bcrWaves in Continuous MediaS. L. Gavrilyuk, N.I. Makarenko, S.V. SukhininChamBirkhäuser2017viii, 141 p.ill.24 cmStarting with the basic notions and facts of the mathematical theory of waves illustrated by numerous examples, exercises, and methods of solving typical problems Chapters 1 & 2 show e.g. how to recognize the hyperbolicity property, find characteristics, Riemann invariants and conservation laws for quasilinear systems of equations, construct and analyze solutions with weak or strong discontinuities, and how to investigate equations with dispersion and to construct travelling wave solutions for models reducible to nonlinear evolution equations. Chapter 3 deals with surface and internal waves in an incompressible fluid. The efficiency of mathematical methods is demonstrated on a hierarchy of approximate submodels generated from the Euler equations of homogeneous and non-homogeneous fluids. The self-contained presentations of the material is complemented by 200+ problems of different level of difficulty, numerous illustrations, and bibliographical recommendations.001VAN001134832001 Lecture Notes in Geosystems Mathematics and Computing210 BaselBirkhäuserVAN00235979Waves in Continuous Media156222474-XXMechanics of deformable solids [MSC 2020]VANC022466MF76-XXFluid mechanics [MSC 2020]VANC019858MF76B70Stratification effects in inviscid fluids [MSC 2020]VANC035171MF76D33Waves for incompressible viscous fluids [MSC 2020]VANC023305MFDispersive wavesKW:KHyperbolic wavesKW:KInternal wavesKW:KPartial differential equationsKW:KSurfaceKW:KWavesKW:KCHChamVANL001889GavrilyukSergey L.VANV095180767348MakarenkoNikolay I.VANV095181767349SukhininSergei V.VANV095182767350Birkhäuser <editore>VANV108193650ITSOL20260911RICAhttp://doi.org/10.1007/978-3-319-49277-3E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN00123727BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08DLOAD e-book 0971 08eMF971 20191001 Waves in Continuous Media1562224UNICAMPANIA